caa a22 4500 606166335 CHVBK 20210128100657.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10440-014-9967-z doi (NATIONALLICENCE)springer-10.1007/s10440-014-9967-z The Role of Nonconservative Interactions in the Asymptotic Limit of Thermostatted Kinetic Models [Elektronische Daten] [C. Bianca, C. Dogbe, A. Lemarchand] This paper is concerned with the asymptotic analysis of space-velocity dependent thermostatted kinetic frameworks which include conservative, nonconservative and stochastic operators. The mathematical frameworks are integro-partial differential equations that can be proposed for the modeling of most phenomena occurring in biological and chemical systems. Specifically the paper focuses on the derivation of macroscopic equations obtained by performing a low-field and a high-field scaling into the thermostatted kinetic framework and considering the related convergence when the scaling parameter goes to zero. In the low-field limit, the macroscopic equations show diffusion with respect to both the space variable and a scalar variable that is introduced for the modeling of the strategy of the particle system. In the high-field limit, the macroscopic equations show hyperbolic behavior. The asymptotic analysis is also generalized to systems decomposed in various functional subsystems. Springer Science+Business Media Dordrecht, 2014 Dynamical systems nationallicence Thermostats nationallicence Nonlinearity nationallicence Low-field and high-field scaling nationallicence Macroscopic equation nationallicence Bianca C. UMR 7600, Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Universités, UPMC Univ Paris 06, 4, place Jussieu, case courrier 121, 75252, Paris Cedex 05, France aut Dogbe C. Department of Mathematics, LMNO, CNRS, UMR 6139, Université de Caen, 14032, Caen Cedex, France aut Lemarchand A. UMR 7600, Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Universités, UPMC Univ Paris 06, 4, place Jussieu, case courrier 121, 75252, Paris Cedex 05, France aut Acta Applicandae Mathematicae Springer Netherlands 139/1(2015-10-01), 1-24 0167-8019 139:1<1 2015 139 10440 https://doi.org/10.1007/s10440-014-9967-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9967-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bianca C. UMR 7600, Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Universités, UPMC Univ Paris 06, 4, place Jussieu, case courrier 121, 75252, Paris Cedex 05, France aut NATIONALLICENCE 700 1- Dogbe C. Department of Mathematics, LMNO, CNRS, UMR 6139, Université de Caen, 14032, Caen Cedex, France aut NATIONALLICENCE 700 1- Lemarchand A. UMR 7600, Laboratoire de Physique Théorique de la Matière Condensée, Sorbonne Universités, UPMC Univ Paris 06, 4, place Jussieu, case courrier 121, 75252, Paris Cedex 05, France aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 139/1(2015-10-01), 1-24 0167-8019 139:1<1 2015 139 10440